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2. Find the relation between x and y if the points (x, y), (1, 2) and (7, 0) are collinear.

2. Find the relation between x and y if the points (x, y), (1, 2) and (7, 0) are collinear.

Grade:12th pass

1 Answers

Pawan Prajapati
askIITians Faculty 60796 Points
one year ago
If given points are collinear then area of triangle formed by them must be zero. Let (x, y), (1, 2) and (7, 0) are vertices of a triangle, Area of a triangle = 1/2 × [x1(y2 – y3) + x2(y3 – y1) + x3(y1 – y2)] = 0 [x(2 – 0) + 1 (0 – y) + 7( y – 2)] = 0 2x – y + 7y – 14 = 0 2x + 6y – 14 = 0 x + 3y – 7 = 0. Which is the required result.

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